Fluctuations of the Propagation Front of a Catalytic Branching Walkстатья
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Дата последнего поиска статьи во внешних источниках: 26 августа 2020 г.
Аннотация:We consider a supercritical catalytic branching random walk (CBRW) with finite number of catalysts on a multidimensional lattice Z^d, d is positive integer. The behavior of a cloud of particles in space and time is studied. When estimating the rate of the population propagation for the front of a multidimensional CBRW, Bulinskaya [Stochastic Process. Appl., 128 (2018), pp. 2325--2340] extended the strong limit theorem by Carmona and Hu [Ann. Inst. Henri Poincaré Probab. Stat., 50 (2014), pp. 327--351]. Our aim is to analyze the fluctuations of the propagation front of a CBRW on Z^d.